The generator matrix

 1  0  0  0  1  1  1  0  1  1  1  1  2  2  2  2  1  2  1  2  2  1  2  1  1  2  1  2  2  1  0  1  2  0  1  1  1  1  1  0  2  0  2  1  1  1  1  1  2  1  2  1  1  1  0  1  1  2  1  1  1  0  1  1  1  2  2  2  1  1  0  2  2  1  1  1  1  1  1  1  2  0  1  1  1
 0  1  0  0  0  1  1  1  0  2  3  1  1  1  1  0  3  1  2  0  1  1  0  3  3  1  0  1  0  1  2  2  1  2  1  2  2  0  3  1  2  0  1  2  3  1  2  2  1  2  1  1  0  0  1  3  3  1  2  2  2  1  1  2  2  2  1  1  2  2  1  0  2  2  0  0  0  3  1  1  2  0  2  0  2
 0  0  1  0  1  1  0  1  0  1  1  2  0  0  1  1  1  1  0  1  2  3  2  2  0  0  3  1  1  3  1  3  3  1  2  0  0  1  3  2  1  2  2  0  2  2  2  1  3  2  3  3  3  1  3  3  2  0  2  2  1  2  0  0  2  0  0  3  2  0  1  1  2  3  0  0  2  3  2  1  1  1  2  3  0
 0  0  0  1  1  0  1  1  1  0  3  0  2  1  2  1  3  3  3  0  3  2  1  3  0  2  3  0  1  1  0  3  3  3  1  0  2  2  0  2  1  1  3  2  0  1  1  3  1  1  1  1  2  0  3  2  3  0  2  2  3  0  3  3  3  1  1  3  3  0  3  0  1  0  3  0  0  3  2  1  1  2  3  3  3
 0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  2  2  2  2  2  0  2  2  2  0  0  0  0  2  2  0  2  0  2  0  2  0  0  2  2  0  2  2  2  2  0  0  2  2  2  2  0  2  0  2  0  2  2  2  0  0  0  0  2  0
 0  0  0  0  0  2  0  0  0  0  0  0  0  0  2  0  2  2  2  2  2  2  0  2  0  2  2  0  2  2  2  2  0  0  2  2  0  0  0  2  2  0  2  0  0  2  0  2  0  2  0  0  0  0  0  0  2  2  2  0  0  0  2  2  0  0  2  2  0  2  2  2  2  0  0  2  0  2  0  2  0  2  0  2  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  2  2  0  0  2  2  2  2  2  0  0  2  2  2  0  0  2  2  2  2  2  0  0  2  2  0  0  0  2  2  0  2  0  2  2  2  2  2  0  0  0  0  2  0  2  0  2  0  2  0  0  0  2  2  0  0  2  0  0  0  0  0  0  0  0  2  2  0  2
 0  0  0  0  0  0  0  2  0  0  2  2  2  2  2  2  2  0  0  2  0  2  2  0  2  0  0  2  0  0  0  2  2  2  0  0  2  2  0  0  2  0  0  0  2  2  2  0  0  0  0  0  0  0  2  0  0  2  2  0  2  2  2  0  0  2  2  0  2  0  2  0  0  2  0  0  2  0  2  0  0  0  2  2  2
 0  0  0  0  0  0  0  0  2  2  2  2  0  2  2  2  2  0  2  0  2  0  0  0  2  0  0  2  2  2  0  0  0  2  0  2  2  0  2  2  0  2  0  2  0  0  0  2  2  2  2  0  0  0  2  0  0  2  2  0  0  2  0  0  0  2  0  2  0  0  2  2  0  0  0  2  0  2  2  0  2  0  2  0  2

generates a code of length 85 over Z4 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+54x^72+86x^73+169x^74+222x^75+231x^76+300x^77+401x^78+366x^79+371x^80+440x^81+498x^82+450x^83+360x^84+474x^85+524x^86+416x^87+317x^88+392x^89+381x^90+354x^91+253x^92+248x^93+237x^94+190x^95+137x^96+88x^97+68x^98+46x^99+50x^100+18x^101+22x^102+4x^103+15x^104+2x^105+4x^106+2x^108+1x^112

The gray image is a code over GF(2) with n=170, k=13 and d=72.
This code was found by Heurico 1.16 in 14.1 seconds.